Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 439/60,169/77,837/293
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 439,169,837
Greatest Common Factor of Numerators i.e. GCF of 439,169,837 is 1 .
LCM of Denominators means LCM of 60,77,293 as per the given fractions.
LCM of 60,77,293 is 1353660 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 439,169,837
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 439
List of positive integer factors of 439 that divides 439 without a remainder.
1,439
Factors of 169
List of positive integer factors of 169 that divides 169 without a remainder.
1,13,169
Factors of 837
List of positive integer factors of 837 that divides 837 without a remainder.
1,3,9,27,31,93,279,837
Greatest Common Factor
We found the factors 439,169,837 . The biggest common factor number is the GCF number.
So the greatest common factor 439,169,837 is 1.
Lets's calculate LCM of 60,77,293
Given numbers has no common factors except 1. So, there LCM is their product i.e 1353660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1353660
Therefore, the GCF of Fractions 439/60,169/77,837/293 is 1/1353660
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 60,77,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,77,293) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(60,77,293) x common factors =1 x 1 = 1
LCM(60,77,293) = ( 60 × 77 × 293 ) / 1
LCM(60,77,293) = 1353660 / 1
LCM(60,77,293) = 1353660
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 439/60, 169/77, 837/293?
Answer: GCF of Numerators as per given numbers 439/60, 169/77, 837/293 is
GCF of Numerators i.e. for 439,169,837 is 1
LCM of denominators i.e. for 60,77,293 is 1353660.
Thus, GCF of Fractions is 1/1353660.Finally, GCF of Fractions for 439/60, 169/77, 837/293 is 1/1353660.